02690nam 2200541 450 991055425830332120231110231916.03-11-064751-63-11-064899-710.1515/9783110648997(CKB)5470000000570968(DE-B1597)514518(DE-B1597)9783110648997(MiAaPQ)EBC6701653(Au-PeEL)EBL6701653(OCoLC)1257324932(EXLCZ)99547000000057096820220430d2021 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierNonlinear reaction-diffusion processes for nanocomposites anomalous improved homogenization /Jesus Ildefonso Diaz, David Gomez-Castro, Tatiana Olegovna ShaposhnikovaBerlin ;Boston, MA :Walter de Gruyter GmbH,[2021]©20211 online resource (XVI, 184 p.)De Gruyter Series in Nonlinear Analysis and Applications ;393-11-064727-3 Frontmatter -- Preface -- Notation -- Contents -- 1 Introduction and modeling -- 2 Preliminary results and comments -- 3 Estimates over one periodicity cell -- 4 Particles over the whole domain -- 5 Particles over an interior manifold -- 6 Particles over a part of the boundary -- A Comments on the parabolic case -- B Dynamic boundary condition -- C Critical-size particles with a stochastic perturbation -- Bibliography -- IndexThe behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.De Gruyter Series in Nonlinear Analysis and Applications Nanocomposites (Materials)Nanocomposites (Materials)MachinabilityNanocomposites (Materials)Nanocomposites (Materials)Machinability.620.115VE 9850SEPArvkDíaz J. I.41067Gomez-Castro DavidShaposhnikova T. O.MiAaPQMiAaPQMiAaPQBOOK9910554258303321Nonlinear Reaction-Diffusion Processes for Nanocomposites2820010UNINA